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Finding the Fourth Proportional to 1,318.57, 1,967.62 and 1,143.61

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Solution

The fourth proportional to 1,318.57, 1,967.62 and 1,143.61 is: 1,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.57 : 1,967.62 = 1,143.61 : x
  2. Step 2: Convert to fraction form
    1,318.57/1,967.62 = 1,143.61/x
  3. Step 3: Cross multiply
    1,318.57x = 1,967.62 × 1,143.61
  4. Step 4: Simplify right side
    1,318.57x = 2,250,189.91
  5. Step 5: Solve for x
    x = 2,250,189.91/1,318.57
  6. Step 6: Final answer
    x = 1,706.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.